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Relationships between group topologies

Published online by Cambridge University Press:  17 April 2009

Kevin J. Sharpe
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Abstract

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Type
Abstracts of Australasian PhD theses
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 1 , August 1975 , pp. 149 - 151
Copyright
Copyright © Australian Mathematical Society 1975

References

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[3]Hewitt, Edwin and Ross, Kenneth A., Abstract harmonic analysis, Volume I (Die Grundlehren der mathematischen Wissenschaften, 115. Academic Press, New York; Springer-Verlag, Berlin, Göttingen, Heidelberg, 1963).Google Scholar
[4]Kasuga, Takashi, “On the isomorphism of topological groups”, Proc. Japan Acad. 29 (1953), 435–438.Google Scholar
[5]группы, Л.С. Понтрягин Непрерывные, 2nd ed. (Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 1954); Pontryagin, L.S., Topological groups (translated from the second Russian edition by Arlen, Brown. Gordon and Breach, New York, London, Paris, 1966).Google Scholar
[6]Sharpe, Kevin J., “Two properties of RN with a compact group topology”, Proc. Amer. Math. Soc. 34 (1972), 267–269.Google Scholar
[7]Sharpe, Kevin J., “Compatible topologies and continuous irreducible representations”, Pacific J. Math. 52 (1974), 227–231.CrossRefGoogle Scholar
[8]Sharpe, Kevin J., “Relating group topologies by their continuous points”, Proc. Amer. Math. Soc. (to appear).Google Scholar
[9]Sharpe, Kevin J., “Compatible group topologies”, Proc. Amer. Math. Soc. (to appear).Google Scholar
[10]Sharpe, Kevin J., “Continuous points in topological groups”, preprint.Google Scholar